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Segmentation-Free Measurement of Cortical Thickness from MRI by Minimum Line Integrals. Iman Aganj, 1 Guillermo Sapiro, 1 Neelroop Parikshak, 2 Sarah K. Madsen, 2 and Paul M. Thompson 2. Department of Electrical and Computer Engineering, University of Minnesota

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segmentation free measurement of cortical thickness from mri by minimum line integrals
Segmentation-Free Measurement of Cortical Thickness from MRI by Minimum Line Integrals

Iman Aganj,1 Guillermo Sapiro,1 Neelroop Parikshak,2 Sarah K. Madsen,2 and Paul M. Thompson2

Department of Electrical and Computer Engineering, University of Minnesota

Laboratory of Neuro Imaging, University of California - Los Angeles

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Importance of Cortical Thickness

  • Childhood development
  • Progression of diseases (Alzheimer’s, AIDS, epilepsy)
  • Quantify treatment effects, drug trials
  • P. M. Thompson et al, “Abnormal cortical complexity and thickness profiles mapped in Williams syndrome,” J.Neuroscience, vol. 25, no. 16, pp. 4146–4158, Apr. 2005.
  • P. M. Thompson et al, “Mapping cortical change in Alzheimer’s disease, brain development, and schizophrenia,” NeuroImage, vol. 23, pp. 2–18, Sep. 2004.
previous work
Previous Work
  • B. Fischl and A. M. Dale, “Measuring the thickness of the human cerebral cortex from magnetic resonance images,” Proc. Nat. Acad. Sci., vol. 97, no. 20, pp. 11 050–11 055, 2000.
  • D. MacDonald, N. Kabani, D. Avis, and A. C. Evans, “Automated 3-D extraction of inner and outer surfaces of cerebral cortex from MRI,” NeuroImage, vol. 12, pp. 340–356, 2000.
  • M. I. Miller, A. B. Massie, J. T. Ratnanather, K. N. Botteron, and J. G. Csernansky, “Bayesian construction of geometrically based cortical thickness metrics,” NeuroImage, vol. 12, pp. 676–687, 2000.
  • M. L. J. Scott and N. A. Thacker, “Cerebral cortical thickness measurements,” Imaging Science and Biomedical Engineering Division, University of Manchester, Manchester, England, TINA Memo 2004-007, 2004.
  • S. E. Jones, B. R. Buchbinder, and I. Aharon, “Three-dimensional mapping of the cortical thickness using Laplace's equation,” Hum. Brain Mapping, vol. 11, pp. 12–32, 2000.
  • A. J. Yezzi and J. L. Prince, “An Eulerian PDE approach for computing tissue thickness,” IEEE Trans. Med. Imag., vol. 22, pp. 1332–1339, Oct. 2003.
  • H. Haidar, J. S. Soul, “Measurement of cortical thickness in 3D brain MRI data: Validation of the Laplacian method,” NeuroImage, vol. 16, pp. 146–153, 2006.
  • N. Thorstensen, M. Hofer, G. Sapiro, H. Pottmann, “Measuring cortical thickness from volumetric MRI data,” unpublished, 2006.
  • S. Pizer, D. Eberly, D. Fritsch, and B. Morse, “Zoom-invariant vision of figural shape: The mathematics of cores,” Comput. Vision Image Understanding, vol. 69, no. 1, pp. 55-71, 1998.
  • Mostly based on pre-segmentation
  • Information is discarded and not used in measurement.
  • Voxel misclassification results in considerable error.
computing the skeleton
Computing the Skeleton

t(x)=t1(x)+t2(x)

|t1(x)-t2(x)| < 0.5

P(x) > 0.4

x

t1(x)

t2(x)

experimental results2
Experimental Results

Group separation = (Mean for Normal - Mean for AD) / (SD for all)

experimental results3
Experimental Results

* B. Fischl and A. M. Dale, “Measuring the thickness of the human cerebral cortex from magnetic resonance images,” Proc. Nat. Acad. Sci., vol. 97, no. 20, pp. 11 050–11 055, 2000.

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THANK YOU!

iman@umn.edu